HP 48g Graphing Calculator - Manual (Page 253)

EXPR:
VAR: ORDER:
RESULT: Numeric
TAYLOR POLYNOMIAL I
ENTER EXPRESSION
The TAYLOR POLYNOMIAL Screen
2. Enter the function you wish to approximate into the EKPR: field.
3. Enter the name of the variable to be used in the Taylor polynomial
into the V h R: field.
4. Enter the order of the Taylor polynomial into the ORDER: field.
Note that higher order polynomials require more time to compute.
5. Press OK to derive the Taylor polynomial approximation.
TAYLR always evaluates the function and its derivatives at zero. If
you’re interested in a function’s behavior in a region away from zero,
the Taylor’s polynomial is more useful if you translate the point of
evaluation to that region, as described below. Also, if the function
has no derivative at zero, its Taylor’s polynomial will be meaningless
unless you translate the point of evaluation away from zero.
20
1. Press fi»liSYMBOLICl(Tlfn OK to open the TflYLOR
POLYNOMIFIL form.
2. Enter the function you wish to approximate into the EKPR: field
and press f ENTER 1.
3. Press ®dxT) l :HLC and enter ' Y+a ' on to the stack, where a
is the point at which you are deriving the polynomial. Note that Y
(or whatever name you wish to use instead) must not exist in the
current directory path.
4. Press CD©X (TfolfEVALl GtK to store the translation,
reevaluate the function using the translation, and return the result
to the EKPR: field.
5. Enter the name of the new variable (Y) to be used in the Taylor’s
polynomial into the VPR: field.
6. Enter the order of the Taylor’s polynomial into the ORDER: field.
Note that higher order polynomials require more time to compute,
but result in better approximations.
Calculus and Symbolic Manipulation 20-13